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We have the following indirect implication of form equivalence classes:

332 \(\Rightarrow\) 343 given by the following sequence of implications, with a reference to its direct proof:

Implication	Reference
332 \(\Rightarrow\) 343	Topologie, Analyse Nonstandard et Axiome du Choix, Morillon, M. 1988, Universit\'e Blaise-Pascal

Here are the links and statements of the form equivalence classes referenced above:

Howard-Rubin Number	Statement
332:	A product of non-empty compact sober topological spaces is non-empty.
343:	A product of non-empty, compact \(T_2\) topological spaces is non-empty.

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